The Taiwanese izakayas (a kind of bar where you can order traditional food to eat with your drinks) are the most popular places to go out to have a drink, both among the young people as in adults. Many bussiness men use them to meet clients in a relax way. They use to serve very fresh fish. Well, many times they even keep it alive in the front door!
They are definitely a must go. A very good place to try a lot of different kinds of food for an affordable price.